Solving an equation by completing the square

The video tutorial explains how to solve quadratic equations by completing the square. It begins with an introduction to the method and discusses the limitations of using inverse operations when multiple x terms are present. The instructor then explores factoring and perfect square trinomials, demonstrating how to create a perfect square trinomial by finding the value of C. The process involves dealing with fractions and emphasizes the importance of exact answers. The tutorial concludes with solving the equation using inverse operations and reflecting on the method's value when factoring is not possible.

What is the primary goal when solving an equation by completing the square?

• To make both sides of the equation equal to zero

• To find the square root of the equation

• To eliminate all variables

• To convert the equation into a linear form

Why can't the equation be factored using perfect squares in this scenario?

• The middle term is not twice the square root of the last term

• The equation is not quadratic

• The equation is already in its simplest form

• The equation has no real solutions

How do you determine the value of C to create a perfect square trinomial?

• C = b / 4 squared

• C = 2b squared

• C = b squared

• C = b / 2 squared

What is the result of adding 169/4 to both sides of the equation?

• It simplifies the equation to a linear form

• It eliminates the variable X

• It creates a perfect square trinomial

• It makes the equation unsolvable

What is the next step after obtaining the equation X - 13/2 squared = 25/4?

• Multiply both sides by 4

• Take the square root of both sides

• Divide both sides by 2

• Add 36 to both sides

What are the two possible solutions for X after solving the equation?

• X = 9 and X = -4

• X = 7 and X = -3

• X = 5 and X = -2

• X = 6 and X = -1

Why is it important to practice solving equations using the method of completing the square?

• It is faster than other methods

• It always provides approximate solutions

• It is the only method to solve quadratic equations

• It is useful when factoring is not possible